Square root of 6728

The square root of 6728 is 82.024387 (rounded to 6 decimal places). In simplest radical form it is 58√2.

Square root of 6728

Pick any whole number from 1 to 10,000.

\sqrt{6728} = 58\sqrt{2} \approx 82.024387

How to work it out

1
The square root of 6728 is the number that multiplied by itself gives 6728.
2
6728 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6728 = 3364 × 2, so
$\sqrt{6728} = \sqrt{3364 \times 2} = 58\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{6728} \approx 82.024387$

LaTeX source of the formulas on this page

\[ \sqrt{6728} = 58\sqrt{2} \approx 82.024387 \]
\[ \sqrt{6728} = \sqrt{3364 \times 2} = 58\sqrt{2} \]
\[ \sqrt{6728} \approx 82.024387 \]

What is the square root of 6728?

The square root of 6728 is 82.024387 (rounded to 6 decimal places). In simplest radical form it is 58√2.

Is 6728 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6728 squared?

6728 × 6728 = 45265984.

What is the square root of 6728 rounded to 2 decimals?

82.02.